Consider the tangent line to the ellipse at a point (p, q) in the first quadrant (a) Show that the tangent line has x intercept a 2 p and y intercept b 2 q (b) Show that the portion of the tangent line cut off by the coordinate axes has minimum length a b (c) Show that the triangle formed by the ta...

a Using implicit differentiation and an equation of the tangent line is The last term is the yinterc ...

Consider the tangent line to the ellipse at a point (p, q) in the first quadrant. (a)

Question:

Consider the tangent line to the ellipse

at a point (p, q) in the first quadrant.

(a) Show that the tangent line has x-intercept a²/p and y-intercept b²/q.

(b) Show that the portion of the tangent line cut off by the coordinate axes has minimum length a + b.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Jul 27, 2022 06:36 AM

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Consider the tangent line to the ellipse at a point (p, q) in the first quadrant. (a)

Question:

x2 2 a + 2 b2 = 1

Step by Step Answer:

a Using implicit differentiation and an equation of the tangent line is The last term is the yinterc...View the full answer

Calculus Early Transcendentals

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